Bull. Amer. Math. Soc., Tome 54 (1948)

Project Euclid

A ratio test

Frink, Orrin

Project Euclid

New publications

Boas, R. P. ; Chandrasekharan, K.

Project Euclid

Correction: Derivatives of infinite order

Project Euclid

Errata, Volume 13

Project Euclid

Errata, Volume 53

Project Euclid

Errata, Volume 54

Project Euclid

1947 Members of the council

Project Euclid

1948 Members of the council

Project Euclid

Former presidents

Project Euclid

Endowment fund

Project Euclid

Review: G. Sansone, Lezioni nulla teoria delle funzioni di una variabile complesa

Bohnenblust, F.

Project Euclid

New publications

Project Euclid

Review: E. A. Maxwell, The methods of plane projective geometry based on the use of general homogeneous coordinates

Hollcroft, T. R.

Project Euclid

On a note of Galbraith and Green

Pinney, Edmund

Project Euclid

Corrections to be made in catalogue of the library

Project Euclid

New publications

Project Euclid

New publications

Project Euclid

The mathematics program of the Office of Naval Research

Rees, Mina

p. 1-5

Project Euclid

Section I: Serial publications

p. 2-3

Project Euclid

Representatives and committees of the Society

p. 3-5

Project Euclid

Section II: Nonserial publications

p. 3-4

Project Euclid

International Congress of Mathematicians

p. 5-6

Project Euclid

Special funds

p. 6-8

Project Euclid

Order statistics

Wilks, S. S.

p. 6-50

Project Euclid

Institutional members

p. 9-11

Project Euclid

Members of the Society

p. 12-105

Project Euclid

The October meeting in New York

Hollcroft, T. H.

p. 51-65

Project Euclid

The November meeting in St. Louis

p. 66-77

Project Euclid

The November meeting in Pasadena

p. 78-85

Project Euclid

First summer seminar of the Canadian Mathematical Congress

O'Connor, R. Eric

p. 86-87

Project Euclid

Harry Bateman 1882–1946

Murnaghan, F. D.

p. 88-103

Project Euclid

Review: D. V. Widder, Advanced calculus

Torrance, C. C.

p. 104-105

Project Euclid

Review: J. Aharoni, Antennae: an introduction to their theory

Schelkunoff, S. A.

p. 105-106

Project Euclid

Geographical distribution of individual members

p. 106-131

Project Euclid

Notes

p. 107-110

Project Euclid

Apsidal angles for symmetrical dynamical systems with two degrees of freedom

Synge, J. L.

p. 111-118

Project Euclid

Nonlinear networks. IIb

Duffin, R. J.

p. 119-127

Project Euclid

Steiner's formulae on a general $S^{n + 1}$

Allendoerfer, Carl B.

p. 128-135

Project Euclid

A characteristic property of affine collineations in a space of $K$-spreads

Su, Buchin

p. 136-138

Project Euclid

An Inequality concerning polyhedra

Tóth, László Fejes

p. 139-146

Project Euclid

A note on local connectivity

Begle, Edward G.

p. 147-148

Project Euclid

Unconditional convergence in Banach spaces

Karlin, S.

p. 148-152

Project Euclid

On a certain classification of rings and semigroups

Tamari, Dov

p. 153-158

Project Euclid

On the representation in the ring of $p$-adic integers, of a quadratic form in $n$ variables by one in $m$ variables

Moses, Irma

p. 159-166

Project Euclid

The role of the center in the theory of direct decompositions

Baer, Reinhold

p. 167-174

Project Euclid

Nonassociative valuations

Zelinsky, Daniel

p. 175-183

Project Euclid

On the roots of a polynomial and its derivative

Erdös, Paul ; Niven, Ivan

p. 184-190

Project Euclid

Note on the location of the critical points of harmonic functions

Walsh, J. L.

p. 191-195

Project Euclid

The critical points of linear combinations of harmonic functions

Walsh, J. L.

p. 196-205

Project Euclid

Some properties of continued fractions $1 + d_0 z + K\left( {{z \mathord{\left/ {\vphantom {z {\left( {1 + d_n z} \right)}}} \right. \kern-\nulldelimiterspace} {\left( {1 + d_n z} \right)}}} \right)$

Thron, W. J.

p. 206-218

Project Euclid

Some limit theorems

Sheffer, I. M.

p. 219-231

Project Euclid

Nicholson's integral for $J_n^2 \left( z \right) + Y_n^2 \left( z \right)$

Wilkins, J. Ernest

p. 232-234

Project Euclid

The Kolmogoroff principle for the Lebesgue area

Helsel, R. G. ; Mickle, E. J.

p. 235-238

Project Euclid

Analytic continuation and infinitely differentiable functions

Mandelbrojt, S.

p. 239-248

Project Euclid

Global theorems in Riemannian geometry

Allendoerfer, C. B.

p. 249-259

Project Euclid

The annual meeting of the Society

Kline, J. R.

p. 260-297

Project Euclid

Review: J. J. Burckhardt, Die Bewegungsgruppen der Kristallographie

Frame, J. S.

p. 298-300

Project Euclid

Review: Harold Jeffreys and Bertha S. Jeffreys, Methods of mathematical physics

Synge, J. L.

p. 300-303

Project Euclid

Review: F. E. Relton, Applied Bessel functions

Coburn, N.

p. 303-305

Project Euclid

Notes

p. 306-309

Project Euclid

On rings of analytic functions

Bers, Lipman

p. 311-315

Project Euclid

The center of a Jordan ring

Jacobson, N.

p. 316-322

Project Euclid

On prime power Abelian groups

Yeh, Yenchien

p. 323-327

Project Euclid

Symmetry of algebras over a number field

MacLane, Saunders

p. 328-333

Project Euclid

Determination of all classes of positive quaternary quadratic forms which represent all (positive) integers

Willerding, Margaret F.

p. 334-337

Project Euclid

Quadratic forms over fields with a valuation

Durfee, William H.

p. 338-351

Project Euclid

Relations between hypersurface cross ratios, and a combinatorial formula for partitions of a polygon, for permanent preponderance, and for non-associative products

Motzkin, Th.

p. 352-360

Project Euclid

Independence of resultants

Motzkin, Th.

p. 360-365

Project Euclid

On the sum of cubes

Rosenthall, E.

p. 366-370

Project Euclid

On some new questions on the distribution of prime numbers

Erdös, P. ; Turán, P.

p. 371-378

Project Euclid

On Mersenne's number $M_{227}$ and cognate data

Uhler, H. S.

p. 378-380

Project Euclid

Recursive properties of transformation groups. II

Gottschalk, W. H.

p. 381-383

Project Euclid

Fixed point theorems for interior transformations

Hamilton, O. H.

p. 383-385

Project Euclid

An extension of Alexandroff's mapping theorem

Dowker, C. H.

p. 386-391

Project Euclid

On mean values

Aczél, J.

p. 392-400

Project Euclid

On an inequality of P. Turán concerning Legendre polynomials

Szegö, G.

p. 401-405

Project Euclid

Note on the eigenvalues of the Sturm-Liouville differential equation

Freilich, Gerald

p. 405-408

Project Euclid

A homogeneous differential system of infinite order with nonvanishing solution

Bochner, S. ; Widder, D. V.

p. 409-415

Project Euclid

The range of a vector measure

Halmos, Paul R.

p. 416-421

Project Euclid

On the distribution of the maximum of successive cumulative sums of independently but not identically distributed chance variables

Wald, Abraham

p. 422-430

Project Euclid

Approximation by polygons and polyhedra

Tóth, László Fejes

p. 431-438

Project Euclid

Convex functions

Beckenbach, E. F.

p. 439-460

Project Euclid

The February meeting in New York

Kline, J. R.

p. 461-479

Project Euclid

The February meeting in Chicago

p. 480-484

Project Euclid

Review: E. C. Titchmarsh, Eigenfunction expansions associated with second order differential equations

Trjitzinsky, W. J.

p. 485-487

Project Euclid

Review: L. M. Graves, The theory of functions of real variables

Clarkson, James A.

p. 487-489

Project Euclid

Review: Marston Morse, Topological methods in the theory of functions of a complex variable

Ahlfors, L.

p. 489-491

Project Euclid

Review: Louis Brand, Vector and tensor analysis

Franklin, Philip

p. 491-492

Project Euclid

Notes

p. 493-501

Project Euclid

Faber polynomials in the theory of univalent functions

Schiffer, Menahem

p. 503-517

Project Euclid

The multiplicative completion of sets of functions

Boas, R. P. ; Pollard, Harry

Boas, R. P. ; Chandrasekharan, K.

p. 518-522

Project Euclid

Derivatives of infinite order

p. 523-526

Project Euclid

On some criteria of Carleman for the complete convergence of a $J$-fraction

Wall, H. S.

Ayer, Miriam C. ; Radó, Tibor

p. 528-532

Project Euclid

A note on convergence in length

p. 533-539

Project Euclid

On unique invariant measures

Schaerf, Henry M.

p. 540-545

Project Euclid

A note on Lacunary polynomials

Marden, Morris

p. 546-549

Project Euclid

A refinement of Pellet's theorem

Marden, Morris

p. 550-557

Project Euclid

On the factorisation of orthogonal transformations into symmetries

Lee, H. C.

p. 558-559

Project Euclid

Note on discriminants of binary quadratic forms with a single class in each genus

Swift, J. Dean

p. 560-561

Project Euclid

On finite extending groups

Newhouse, Albert

p. 561-565

Project Euclid

Decompositions of a loop into characteristic free summands

Bates, Grace E.

p. 566-574

Project Euclid

Rings with a polynomial identity

Kaplansky, Irving

p. 575-580

Project Euclid

Proof of a formula of Liouville

Gage, Walter H.

p. 581-586

Project Euclid

Set functions and Souslin's hypothesis

Maharam, Dorothy

p. 587-590

Project Euclid

On universal mappings and free topological groups

Samuel, P.

p. 591-598

Project Euclid

The International Congress of Mathematicians

The Organizing Committee

p. 599-601

Project Euclid

Mathematical problems in operations research

Morse, Philip M.

p. 602-621

Project Euclid

The April meeting in New York

Kline, J. R.

p. 622-647

Project Euclid

The April meeting in Ann Arbor

p. 648-660

Project Euclid

The April meeting in Berkeley

p. 661-670

Project Euclid

Review: André Weil, Foundations of algebraic geometry

Zariski, Oscar

p. 671-675

Project Euclid

Review: S. A. Kiss, Transformations on lattices and structures of logic

Birkhoff, Garrett

p. 675-676

Project Euclid

Notes

p. 677-679

Project Euclid

Generalization of an inequality of Heilbronn and Rohrbach

Behrend, F. A.

p. 681-684

Project Euclid

On the density of some sequences of integers

Erdös, P.

p. 685-692

Project Euclid

The critical numbers for unsymmetrical approximation

Robinson, Raphael M.

p. 693-705

Project Euclid

On a class of perfect sets

Menon, P. Kesava

p. 706-711

Project Euclid

The nonexistence of certain identities in the theory of partitions and compositions

Alder, Henry L.

p. 712-722

Project Euclid

On isometries of product sets

Kelly, Paul J.

p. 723-727

Project Euclid

Bounds on characteristic values

Barankin, Edward W.

p. 728-735

Project Euclid

Note on the spectral representation of a bounded normal matrix

Coddington, Earl A.

p. 736-739

Project Euclid

Group decomposition by double coset matrices

Frame, J. Sutherland

p. 740-755

Project Euclid

Equal sums of like powers

Wright, E. M.

p. 755-757

Project Euclid

One-to-one mappings of rings and lattices

Rickart, C. E.

Greenwood, Robert E. ; Miller, J. J.

p. 758-764

Project Euclid

Zeros of the Hermite polynomials and weights for Gauss' mechanical quadrature formula

p. 765-769

Project Euclid

On the convexity of mean value functions

Shniad, Harold

p. 770-776

Project Euclid

Homomorphisms on Banach spaces

Munroe, M. E.

p. 776-781

Project Euclid

A note on the operators of Blaschke and Privaloff

Potts, D. H.

p. 782-787

Project Euclid

The remainder in approximations by moving averages

Sard, Arthur

p. 788-792

Project Euclid

On approximate derivatives

Chow, Shu-Er

p. 793-802

Project Euclid

Generalization of Menger's result on the structure of logical formulas

Gerneth, Dal Charles

p. 803-804

Project Euclid

The extension of a homeomorphism defined on the boundary of a 2-manifold

Youngs, J. W. T.

p. 805-808

Project Euclid

Topological rings

Kaplansky, Irving

p. 809-826

Project Euclid

The June meeting in Vancouver

Martin, W. T. ; Hollcroft, T. R.

p. 827-841

Project Euclid

Second symposium in applied mathematics

p. 842-844

Project Euclid

The Los Angeles meeting on computing machines

p. 845-846

Project Euclid

Dunham Jackson 1888–1946

Hart, William L.

p. 847-860

Project Euclid

Review: Tibor Radó, Length and area

McShane, E. J.

p. 861-863

Project Euclid

Review: M. G. Kendall, The advanced theory of statistics. Vol. 2

Hotelling, Harold

p. 863-868

Project Euclid

Notes

p. 869-884

Project Euclid

On the difference of consecutive primes

Erdös, P.

p. 885-889

Project Euclid

Note on a problem in number theory

Shapiro, Harold N.

p. 890-893

Project Euclid

A note on Hilbert's Nullstellensatz

Brauer, Richard

p. 894-896

Project Euclid

A nonassociative method for associative algebras

MacLane, Saunders

p. 897-902

Project Euclid

Universal quaternary quadratic forms

Morrow, D. C.

p. 903-904

Project Euclid

Some analogs of the generalized principal axis transformation

Wiegmann, N. A.

p. 905-908

Project Euclid

Polynomials in topological fields

Kaplansky, Irving

p. 909-916

Project Euclid

A note on the singular manifolds of a difference polynomial

Cohn, Richard M.

p. 917-922

Project Euclid

Distinct representatives of subsets

Hall, Marshall

p. 922-926

Project Euclid

Existence theorems connected with the Picard-Vessiot theory of homogeneous linear ordinary differential equations

Kolchin, E. R.

p. 927-932

Project Euclid

On some examples in the theory of power series

Turán, P.

p. 932-936

Project Euclid

A generalization of a theorem on linear differential equations

Amitsur, A. S.

p. 937-941

Project Euclid

On the location of the zeros of the derivatives of a polynomial symmetric in the origin

Walsh, J. L.

p. 942-945

Project Euclid

On polynomials and Lagrange's form of the general mean-value theorem

Ramaswami, V.

p. 946-949

Project Euclid

Proof of a theorem of Saks and Sierpinski

Goffman, Casper

Garcia, Mariano ; Hedlund, Gustav A.

p. 950-952

Project Euclid

The structure of minimal sets

p. 954-964

Project Euclid

A zero-dimensional topological group with a one-dimensional factor group

Kaplan, Samuel

p. 964-968

Project Euclid

Topological groups and generalized manifolds

Begle, Edward G.

p. 969-976

Project Euclid

Paracompactness and product spaces

Stone, A. H.

p. 977-982

Project Euclid

Transitivity and equicontinuity

Gottschalk, W. H.

p. 982-984

Project Euclid

Correction to my paper “Note on affinely connected manifolds”

Chern, Shiing-Shen

p. 985-986

Project Euclid

Recursion and double recursion

Robinson, Raphael M.

p. 987-993

Project Euclid

On the reliability of the membrane theory of shells of revolution

Truesdell, C.

p. 994-1008

Project Euclid

On the existence of steady gas flow in plane isothermal streamline patterns

Prim, R. C.

p. 1009-1012

Project Euclid

Mathematical methods in ancient astronomy

Neugebauer, O.

p. 1013-1041

Project Euclid

The summer meeting in Madison

p. 1042-1086

Project Euclid

Review: R. Vaidyanathaswamy, A treatise on set topology. Part I

Tong, Hing

p. 1087-1090

Project Euclid

Review: J. F. Ritt, Integration in finite terms

Lorch, E. R.

p. 1090-1092

Project Euclid

Review: A. D. Michal, Matrix and tensor calculus with applications to mechanics, elasticity and aeronautics

Bers, Lipman

p. 1092-1093

Project Euclid

Review: N. W. McLachlan, Theory and application of Mathieu functions

Thomas, L. H.

p. 1093-1094

Project Euclid

Review: A. Lichnerowicz, Algèbre et analyse linéaires

Mackey, George W.

p. 1094-1095

Project Euclid

Notes

p. 1096-1103

Project Euclid

Restricted measurability

McMinn, Trevor J.

p. 1105-1109

Project Euclid

On the distribution of the values of $\left| {f\left( z \right)} \right|$ in the unit circle

Breusch, Robert

p. 1109-1114

Project Euclid

The completely monotonic character of the Mittag-Leffler function $E_a \left( { - x} \right)$

Pollard, Harry

p. 1115-1116

Project Euclid

An initial value problem for hyperbolic differential equations

Ingersoll, Benham M.

p. 1117-1124

Project Euclid

Note on a theorem due to Borsuk

Whitehead, J. H. C.

p. 1125-1132

Project Euclid

On the homotopy type of ANR's

Whitehead, J. H. C.

p. 1133-1145

Project Euclid

Topological characterization of fields with valuations

Zelinsky, Daniel

p. 1145-1150

Project Euclid

The asymptotic distribution of the sum of a random number of random variables

Robbins, Herbert

p. 1151-1161

Project Euclid

Asymptotic distribution of the maximum cumulative sum of independent random variables

Chung, Kai Lai

p. 1162-1170

Project Euclid

Composition of binary quadratic forms

Pall, Gordon

p. 1171-1175

Project Euclid

Semilattices and a ternary operation in modular lattices

Kiss, S. A.

Bates, Grace E. ; Kiokemeister, Fred

p. 1176-1179

Project Euclid

A note on homomorphic mappings of quasigroups into multiplicative systems

p. 1180-1185

Project Euclid

A conjecture of Krishnaswami

Lehmer, D. H.

p. 1185-1190

Project Euclid

Index of volume 54